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Compact Lie groups which act on Euclidean space without fixed points. (English) Zbl 0326.57011


MSC:

57S25 Groups acting on specific manifolds
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[1] Glen E. Bredon, Introduction to compact transformation groups, Academic Press, New York-London, 1972. Pure and Applied Mathematics, Vol. 46. · Zbl 0246.57017
[2] P. E. Conner and E. E. Floyd, On the construction of periodic maps without fixed points, Proc. Amer. Math. Soc. 10 (1959), 354 – 360. · Zbl 0092.39701
[3] Pierre Conner and Deane Montgomery, An example for \?\?(3), Proc. Nat. Acad. Sci. U.S.A. 48 (1962), 1918 – 1922. · Zbl 0107.16604
[4] Wu-chung Hsiang and Wu-yi Hsiang, Differentiable actions of compact connected classical groups. I, Amer. J. Math. 89 (1967), 705 – 786. · Zbl 0184.27204
[5] J. M. Kister, Differentiable periodic actions on \?\(^{8}\) without fixed points, Amer. J. Math. 85 (1963), 316 – 319. · Zbl 0119.18801
[6] R. A. Oliver, Smooth fixed point free actions of compact Lie groups on disks, Thesis, Princeton University, 1974.
[7] W. R. Scott, Group theory, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1964. · Zbl 0126.04504
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